What is the property of real numbers illustrated by the equation: #2sqrt(7) * sqrt(3) = 2(sqrt7 * sqrt(3))#?

1 Answer
Dec 16, 2016

Associativity of multiplication

Explanation:

Multiplication of Real numbers is associative.

That is:

#(ab)c = a(bc)#

for any Real numbers #a#, #b# and #c#

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Footnote

Multiplication of Complex numbers is also associative as is multiplication of Quaternions.

You have to go to some really strange numbers such as Octonions before multiplication is not associative.